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Question

Solve the following systems of equations:
44x+y+30xy=10
55x+y+40xy=13

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Solution

Equation (1) ×4 : 176x+y+120xy=40

Equation (2) ×3 : 165x+y+120xy=39

Subtract two equations ;

11x+y=1

x+y=11

Substituting, we get ;

xy=5

Adding resultant equations ;

2x=16

x=8

y=3

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